Question

(2)^x multipled by (4)^x + 1 = 8
what is X
)edexcel math c1 june13R question 5)

Answer 1

✪ᴀɴsᴡᴇʀ✪

• $x = \frac{1}{3}$

★ᴇxᴘʟᴀɪɴᴀᴛɪᴏɴ★

The given equation is

$\to 2^x. 4^{x + 1} = 8$

$\to 2^x.(2^2)^{x + 1} = 8$

$\to 2^x.2^{2x+2} = 2^3$

$\to 2^{3x+2} = 2^3$

$\to 3x+2 = 3$

$\to 3x = 3-2$

$\to 3x = 1$

$\to x = \frac{1}{3}$